In this document, we provide supplementary information about the ‘boundariness map’ Et computation for the boundary contour term. This term encourages the boundary of the surface to project to strong intensity edges in the image and it is a very useful constraint for poorly-textured surfaces. However, boundary may be attracted by false surface edges, which corresponds to background clutter or s...

In this paper, we deal with the acoustic inverse scattering problem for reconstructing complex cracks from the far field map. The scattering problem models the diffraction of waves by thin two-sided cylindrical screens. A complex crack is characterized by its shape, the type of boundary conditions and the boundary coefficients (surface impedance). We give explicit formulas which can be used to ...

We consider the numerical solution of an acoustic scattering problem by the Plane Wave Discontinuous Galerkin Method (PWDG) in the exterior of a bounded domain in R2. In order to apply the PWDG method, we introduce an artificial boundary to truncate the domain, and we impose a non-local Dirichlet-to-Neumann (DtN) boundary conditions on the artificial curve. To define the method, we introduce ne...

Pathfinding is used extensively in modern computer games: more efficient pathfinding allows for more units and bigger games. Several heuristics already exist to improve the performance beyond that of heuristics as the Manhattan distance when used in the A* search algorithm. In this paper, the new Boundary Heuristic (along with several variants) is introduced in order to attempt to increase the ...

Suppose that Ω is a bounded convex domain in R whose boundary is a C manifold with corners. We prove that the boundary values (Cauchy data) of eigenfunctions of the Laplacian on Ω with various boundary conditions are quantum ergodic if the classical billiard map β on the ball bundle B(∂Ω) is ergodic. Our proof is based on the classical observation that the boundary values of an interior eigenfu...

Growth factors activate Ras, PI3K, and other signaling pathways. It is not well understood how these signals are translated by individual cells into a decision to proliferate or differentiate. Here, using single-cell image analysis of nerve growth factor (NGF)-stimulated PC12 cells, we identified a two-dimensional phospho-ERK (pERK)-phospho-AKT (pAKT) response map with a curved boundary that se...

This paper presents a method for finding cutting paths on a 3D triangular mesh surface to reduce the stretch in the flattened surface. The cutting paths link the surface boundary and the nodes where the Gaussian curvature is high, and their total length is minimized. First, a linear algorithm for computing an approximate boundary geodesic distance map is introduced; the map encapsulates the und...

Gene regulatory networks (GRNs) control development via cell type-specific gene expression and interactions between transcription factors (TFs) and regulatory promoter regions. Plant organ boundaries separate lateral organs from the apical meristem and harbor axillary meristems (AMs). AMs, as stem cell niches, make the shoot a ramifying system. Although AMs have important functions in plant dev...

In the H.264/MPEG−4 AVC video coding standard, motion compensation can be performed by partitioning macroblocks into square or rectangular regions to improve inter prediction efficiency. However, current H.264 MB partition set is not optimal because the rigid square or rectangular divisions cannot match the boundary shape of a moving object well. In this paper, we analyze this problem in detail...

We study a boundary value problem for a fractional differential inclusion of order α ∈ (1, 2] with non-separated boundary conditions involving a nonconvex set-valued map. We establish a Filippov type existence theorem and we prove the arcwise connectedness of the solution set of the problem considered.